منابع مشابه
Finite Gauge Theory on Fuzzy CP
We give a non-perturbative definition of U(n) gauge theory on fuzzy CP 2 as a multi-matrix model. The degrees of freedom are 8 hermitian matrices of finite size, 4 of which are tangential gauge fields and 4 are auxiliary variables. The model depends on a noncommutativity parameter 1 N , and reduces to the usual U(n) Yang-Mills action on the 4-dimensional classical CP 2 in the limit N → ∞. We ex...
متن کاملFinite Gauge Theory on Fuzzy C P 2
We give a non-perturbative definition of U(n) gauge theory on fuzzy CP 2 as a multi-matrix model. The degrees of freedom are 8 hermitian matrices of finite size, 4 of which are tangential gauge fields and 4 are auxiliary variables. The model depends on a noncommutativity parameter 1 N , and reduces to the usual U(n) Yang-Mills action on the 4-dimensional classical CP 2 in the limit N → ∞. We ex...
متن کاملNote on Gauge Theory on Fuzzy Supersphere
We construct a supermatrix model whose classical background gives two-dimensional noncommutative supersphere. Quantum fluctuations around it give the supersymmetric gauge theories on the fuzzy supersphere constructed by Klimcik. This model has a parameter β which can tune masses of the particles in the model and interpolate various supersymmetric gauge theories on sphere.
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We prove a Mahoux-Mehta–type theorem for finite-volume partition functions of SU(Nc ≥ 3) gauge theories coupled to fermions in the fundamental representation. The large-volume limit is taken with the constraint V << 1/m π . The theorem allows one to express any k-point correlation function of the microscopic Dirac operator spectrum entirely in terms of the 2-point function. The sum over topolog...
متن کاملNotes on noncommutative supersymmetric gauge theory on the fuzzy supersphere
In these notes we review Klimč́ık’s construction of noncommutative gauge theory on the fuzzy supersphere. This theory has an exact SUSY gauge symmetry with a finite number of degrees of freedom and thus in principle it is amenable to the methods of matrix models and Monte Carlo numerical simulations. We also write down in this article a novel fuzzy supersymmetric scalar action on the fuzzy super...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2005
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2004.11.058